SOLUTION: Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 628113: Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miltudent, then, will see your explanation and work of the solver. Most solvers give very detailed explanations.
(Explain) (Explaies. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?
**
let x=Larry's speed
x+2=Terrell's speed
Travel time=distance/speed
371%2Fx-220%2F%28x%2B2%29=3
LCD: x(x+2)
371(x+2)-220x=3x(x+2)
371x+742-220x=3x^2+6x
3x^2-145x-742
solve by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=3, b=145, c=-742
ans:
x=-14/3 (reject, x>0)
or
x=53
..
Larry's speed=53 mph
Terrell's speed=55 mph